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Finding the Fourth Proportional to 109,232.99, 163,913.17 and 46,049.24

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Solution

The fourth proportional to 109,232.99, 163,913.17 and 46,049.24 is: 69,100.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,232.99 : 163,913.17 = 46,049.24 : x
  2. Step 2: Convert to fraction form
    109,232.99/163,913.17 = 46,049.24/x
  3. Step 3: Cross multiply
    109,232.99x = 163,913.17 × 46,049.24
  4. Step 4: Simplify right side
    109,232.99x = 7,548,076,904.49
  5. Step 5: Solve for x
    x = 7,548,076,904.49/109,232.99
  6. Step 6: Final answer
    x = 69,100.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.